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Beliebt Rechnen >

y^{''}+7y=5

Lösung

y^{^{''}} + 7 y = 5

Lösung

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{5}{7}

Schritte zur Lösung

y^{''} (t) + 7 y = 5

Solve linear ODE:

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{5}{7}

y = c_{1} cos (7 t) + c_{2} sin (7 t) + \frac{5}{7}

Graph

Beliebte Beispiele

x^{''}+x^'-2x=8sin(2t)

x^{^{''}} + x^{^{'}} - 2 x = 8 sin (2 t)

y^{''}+25y=20sin(5x)+xcos(x)

y^{^{''}} + 25 y = 20 sin (5 x) + x cos (x)

2y^{''}-13y^'+20y=40x^2+8x+10

2 y^{^{''}} - 13 y^{^{'}} + 20 y = 40 x^{2} + 8 x + 10

-ay^{''}+by-1=0

- a y^{^{''}} + b y - 1 = 0

y^{'''}-24y^{''}+192y^'-512y=e^{8x}

y^{^{'''}} - 24 y^{^{''}} + 192 y^{^{'}} - 512 y = e^{8 x}